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Journal of Experimental and Theoretical Physics Letters

Optical orientation of atoms in spontaneous Raman scattering of elliptically polarized light

A. V. Taǐchenachev, Anatolii M Tumaikin, Valeriy I. Yudin

Published Jul 1, 2003• 0 citations
Publisher

Abstract

A general approach to the problem of spontaneous transfer of light-induced anisotropy in the scheme of Raman scattering of resonance elliptically polarized light is developed. Depending on the type of the field-excited ( a )↔( b ) transition, the stationary distribution of atoms over the sublevels of the final level ( c ) coupled with the excited level only by the ( b )→( c ) spontaneous transition is either isotropic and does not depend on field parameters or anisotropic. In the latter case, the anisotropy is determined by both field polarization and (at fairly large level momentum values) field detuning and intensity.

DOI
10.1134/1.1615530

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Journal of Experimental and Theoretical Physics•Mar 1, 2004•0 citations
A general approach to the problem of spontaneous transfer of light-induced anisotropy in the scheme of Raman scattering of resonance elliptically polarized light is developed. Depending on the type of the field-excited ( a )↔( b ) transition, the stationary distribution of atoms over the sublevels of the final level ( c ) coupled with the excited level only by the ( b )→( c ) spontaneous transition is either isotropic and does not depend on field parameters or anisotropic. In the latter case, the anisotropy is determined by both field polarization and (at fairly large level momentum values) field detuning and intensity.
Abstract Electromagnetically induced transparency (EIT) and electromagnetically induced absorption (EIA) resonances excited by a strong two-frequency field are considered for various values of the total angular momenta of the ground (F g) and excited (F e) states at a degenerated optical closed transition F g → F e. The light field is formed by two co-propagating waves with arbitrary elliptical polarisations. The process of spontaneous transfer of anisotropy from the excited state to the ground state is shown to determine the formation of the EIA resonance at the transition F g = F → F e = F + 1. The results obtained generalise the classification of transitions into ‘bright’ (F g = F → F e = F + 1) and ‘dark’ (F g = F → F e = F and F g = F → F e = F – 1) transitions with respect to the direction of a subnatural resonance.
Outside of the perturbation theory for bichromatic field of two co-propagating elliptically polarized waves, the type of the subnatural (electromagnetically induced transparency (EIT) or absorption (EIA)) resonance is theoretically found to determined only by the angular momenta of the ground (Fg) and the excited (Fe) states of atomic gas. Herewith, the spontaneous transfer of anisotropy from the excited state to the ground one leads to the formation of the EIA resonance at the transition Fg= F → Fe= F + 1.
Using a 1 --> 2 transition as an analytically tractable model, we discuss in detail magneto-optical resonances of both electromagnetically induced absorption (EIA) and electromagnetically induced transparency (EIT) types in the Hanle configuration. The analysis is made for an arbitrary rate of depolarizing collisions in the excited state and an arbitrary elliptical field polarization. The obtained results clearly show that the main reason for the EIA subnatural resonance is the spontaneous transfer of anisotropy from the excited level to the ground level. In the EIA case we predict the negative structures in the absorption resonance at large field detuning. The role of the finite atom-light interaction time is briefly discussed. In addition we study nontrivial peculiarities of the resonance line shape related to the velocity spread in a gas.
The interaction of laser light of arbitrary polarization with systems of high angular momentum is considered. We show that elliptically polarized light creates an anisotropic spatial distribution of atomic and molecular angular momentum which is qualitatively different from the alignment and orientation induced by light of circular or linear polarization. Multilevel coherent population trapping within a manifold of ground-state magnetic sublevels results in a nonclassical behavior of a high-JJJ molecular rotor. The classical approximation for the angular momentum distribution is compared with the exact quantum calculations, and is shown to fail in cases of long interaction times and high intensities of the exciting light. In these limits, the quantum uncertainty defines the spatial width of the angular distribution. The applicability of the classical treatment is analyzed and found to be different in the cases of $\stackrel{\ensuremath{\rightarrow}}{J}J\ensuremath{-}1$ and $\stackrel{\ensuremath{\rightarrow}}{J}J$ transitions. A biaxial spatial orientation with two preferential axes of rotation is experimentally created in sodium atoms via coherent population trapping by elliptically polarized light. A method for producing an arbitrary orientation of atomic angular momentum by magnetic field assisted coherent population trapping is proposed.
Stimulated Raman scattering of linearly polarized light from degenerate and selectively populated atomic sublevels of potassium have been observed. The scattered radiation has a polarization perpendicular to that of the incident beam. Such transition can take place between substates of different or of the same atomic level. In the latter case, the frequencies of the incident and scattered beams are equal and the polarizations are perpendicular. The induced transitions are associated with parametric four-wave coupling possessing also characteristic polarization properties.
The dynamics of a two-level atom with optical transition J g → J e =J g + 1 under the action of elliptically polarized resonance radiation in the presence of a constant field directed along the radiation wave vector is studied in the approximation of a semiclassical description of the angular momentum orientation. It is shown that the atomic distribution over the angular momentum orientation exhibits a two-scale time evolution. At the first stage, after the beginning of irradiation, the angular momenta of atoms get oriented (over comparatively short time intervals) along the magnetic field, as well as in the opposite direction, depending on their initial orientation and the ellipticity of radiation. At the second (longer) stage, the redistribution of atoms takes place, as a result of which they are oriented predominantly in one of the above directions. The duration of the second stage is an exponential function of angular momentum J.